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A Note on Affine Motion in a Birecurrent Finsler Space

Authors

P. N. Pandey and Suresh K. Shukla

Abstract

Several authors discussed affine motion generated by contra, concurrent,
special concircular, recurrent, concircular and torse forming vector fields in special spaces such as recurrent, birecurrent and symmetric Riemannian and Finsler spaces. The first author [20-22] for the first time obtained the necessary and sufficient conditions for the above vector fields to generate an affine motion in a general Finsler space. Recently Surendra Pratap Singh [26] discussed affine motion in a birecurrent Finsler space. The aim of this paper is to generalize the results of Surendra Pratap Singh

Keywords and Phrases : Recurrent Finsler space, Birecurrent Finsler space,
Contra vector field, Concurrent vector field, Affine motion.
AMS Subject Classification : : 53B40.

Received date : January 12, 2010

Accepted date: June 10, 2010

cited by: J.T.S. Vol. 4 (2010), pp.93-101

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